(a) Explanation Calculation: Find the radius ( R ) of the circle. R = 5 + 1.5 cos 70 ° = 5.513 m Sketch the free body diagram and kinetic diagram of the rider at an angle θ as shown in Figure (1). Refer Figure (1): Find the speed ( v 0 ) at which the platform A begins to roll upward. Apply Newton’s law of equation along y -axis. Σ F y = m a y − m g cos 20 ° = − m v 0 2 R sin 20 ° g cos 20 ° = v 0 2 R sin 20 ° v 0 2 R = (b) To determine Find the normal force experienced by an 80-kg rider.

Vector Mechanics for Engineers: Statics and Dynamics

11th Edition

ISBN: 9780073398242

Author: Ferdinand P. Beer, E. Russell Johnston Jr., David Mazurek, Phillip J. Cornwell, Brian Self

Publisher: McGraw-Hill Education

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Chapter 12.1, Problem 12.51P

(a)

To determine

Find the speed (v0) at which the platform A begins to roll upward.

(b)

To determine

Find the normal force experienced by an 80-kg rider.

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Chapter 12.1, Problem 12.50P

Chapter 12.1, Problem 12.52P

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Find the speed ( v 0 ) at which the platform A begins to roll upward.

Solution Summary: The author explains how to find the speed at which the platform A begins to roll upward.